Predicted anode arc attachment by LTE (local thermodynamic equilibrium) and 2-T (two-temperature) arc models
in a cascaded-anode DC plasma spray torch
Rodion Zhukovskii, Christophe Chazelas, Vincent Rat, Armelle Vardelle
Université de Limoges, IRCER, UMR 7315, 87000 Limoges, France
rodion.zhukovskii@unilim.fr
Ron Molz
Oerlikon Metco (US) Inc. (Westbury, New York, USA)
Abstract
In DC plasma spray torches, anode erosion is a common
concern. It mainly depends on the heat flux brought by the arc
and on the dimensions and residence time of the arc attachment
to a given location on the anode wall. The latter depend, to a
great extent, on the attachment mode of the arc on the anode
wall. This paper compares the anode arc attachment modes
predicted by a LTE (local thermodynamic equilibrium) and 2-
T (two-temperature) arc models that include the electrodes in
the computational domain. It deals with a commercial
cascaded-anode plasma torch operated at high current (500 A)
and low gas flow rate (60 NLPM of argon). It shows that the
LTE model predicted a constricted anode arc attachment that
moves on the anode ring while the 2-T model predicted a
diffuse and steady arc attachment. The comparison between the
predicted and measured arc voltage showed that the 2-T
prediction is closer to the actual voltage. Also, the post-mortem
observation of a new anode ring of the actual plasma torch
operated under the same conditions for a short time confirmed
a diffuse arc attachment on a new anode.
Introduction
Anode erosion is a common concern in plasma spraying. It
brings about variation in arc dynamics, voltage and attachment
mode on the anode wall. It may also modify the development
of the arc column inside the plasma torch and the plasma jet
issuing from the torch (Ref 1-4); it finally limits the lifetime of
the anode and causes production shutdowns and increased
operating cost.
Therefore, different methods are used by the torch
manufacturers to reduce the anode erosion (Ref 5,6). The most
common is to limit the residence time of the arc at the same
location on the anode wall. An azimuthal displacement of the
anode arc attachment is achieved by a swirling injection of the
gas. However, the gas swirl tends to progressively decrease
along the torch length because of the high viscosity of the hot
arc column (Ref 7,8). Thus, a high swirling component at the
gas injection is required in order to have a significant effect on
the anode arc attachment further downstream. The arc anode
attachment fluctuations can also be promoted by the torch
design (self-setting arc length torch design) (Ref 1, 9) and/or
the operating parameters (e.g.; arc current, nature and gas flow
rates of the plasma-forming gas) (Ref 10) or the use of an
external axial magnetic field (Ref 11-16). However, if the axial
movement of the anode arc attachment occurs over a large
portion of the anode, it affects the stability of the plasma jet and
so the injection and processing of the powder or suspension in
the plasma jet.
Common ways to limit the arc movement and get a rather stable
plasma jet are either a sudden expansion of the nozzle or an
insulating insert between the electrodes (Ref 17). The second
method is now common in most of the commercial plasma
torches. The nozzle consists, then, in several rings of which the
last ring acts as anode.
Actually, the erosion of the anode is mainly controlled by the
heat flux brought by the arc attachment, which essentially
depends on the arc current, nature of the plasma-forming gas
and time of residence of the arc attachment in a specific anode
area. The anode erosion also depends on the surface area of the
arc attachment at the anode wall and therefore on the attachment
mode (diffuse, constricted, etc). Cascaded-anode plasma
torches are generally operated at lower arc current than
conventional torches, the plasma enthalpy increase resulting
from an increase in arc voltage (typically around 100-120 V as
compared with about 70 V for conventional plasma torch) and
thus should benefit of a lower anode erosion, the latter being
roughly proportional to the square of arc current. Another
approach is to split the arc current in several arcs (Ref 5) either
by using a multi-cathode or “by dividing the anode ring into
three insulated pie-shaped pieces” (Ref 18).
In addition, the nozzle that is traditionally of pure copper
because of its high thermal and electrical conductivity, can be
protected from erosion by a tungsten liner which has a much
higher melting point and heat of fusion than copper (3422 °C
and 35.4 kJ·mol
-1
, respectively, vs 1085 °C and 13.05 kJ·mol
-1
for copper) as it is done in some commercial plasma torches.
Controlling the heat flux to the anode and the way it is
dissipated in the electrode cooling system should help to
increase the lifetime of the anode. A large body of papers deals
with the experimental investigation of the heat flux distribution
on the anode wall (e.g.; Ref 19-21). Most of the experiments are
based on calorimetry methods and yield the total heat flux to
anode; they are coupled with other diagnostic methods (e.g.;
temperature spectroscopic measurement; Thompson scattering
measurement; Langmuir probe; miniature heat conduction
probe) or other torch configurations (e.g. split anode) to get an
insight into the different contributions of heat flux to anode.
However, such measurements are cumbersome and tricky.
Therefore, numerical models stand out as the easiest way to
Thermal Spray 2021: Proceedings from the International Thermal Spray Conference
May 24–28, 2021
F. Azarmi, X. Chen, J. Cizek, C. Cojocaru, B. Jodoin, H. Koivuluoto, Y. Lau, R. Fernandez,
O. Ozdemir, H. Salami Jazi, and F. Toma, editors
DOI: 10.31399/asm.cp.itsc2021p0360
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